Problema Solution
Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 276 miles in the same time that Dana travels 246 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
Answer provided by our tutors
let
v1 = Chuck's speed of travel
d1 = 276 mi the distance Chuck travels
v2 = Dana's speed of travel
d2 = 246 mi the distance Dana travels
t = the length of the travel of each
Chuck's rate of travel is 5 mph more than Dana's:
v1 = v2 + 5
since speed = distance/time follows time = distance/speed:
d1/v1 = d2/v2
276/v1 = 246/v2
plug v1 = v2 + 5 into the last equation:
276/(v2 + 5) = 246/v2
by solving we find:
v2 = 41 mph
click here to see the step by step solution of the equation:
v1 = v2 + 5
v1 = 41 + 5
v1 = 46 mph
Chuck travels with speed of 46 miles per hour.